{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 代码"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import random\n",
    "import math\n",
    "\n",
    "\n",
    "def draw(inner_points,outer_points):\n",
    "    import matplotlib.pyplot as plt\n",
    "    fig, ax = plt.subplots(figsize=(5, 5))\n",
    "    inner_x = [x[0] for x in inner_points]\n",
    "    inner_y = [x[1] for x in inner_points]\n",
    "    outer_x = [x[0] for x in outer_points]\n",
    "    outer_y = [x[1] for x in outer_points]\n",
    "    ax.scatter(inner_x, inner_y, color=\"r\",s=1)\n",
    "    ax.scatter(outer_x, outer_y, color=\"g\",s=1)\n",
    "\n",
    "    ax.set_xlim(0, 1)\n",
    "    ax.set_ylim(0, 1)\n",
    "\n",
    "    import numpy as np\n",
    "    theta = np.linspace(0, 2*np.pi, 100)\n",
    "    r = 1\n",
    "    x1 = r*np.cos(theta)\n",
    "    x2 = r*np.sin(theta)\n",
    "    ax.plot(x1, x2,color='black')\n",
    "    plt.show()\n",
    "\n",
    "def MonPi(number):\n",
    "    N2 = number\n",
    "    N1 = 0.\n",
    "    inner_points = []\n",
    "    outer_points = []\n",
    "    for i in range(N2):\n",
    "        x = random.random()\n",
    "        y = random.random()\n",
    "        if x*x+y*y<=1:\n",
    "            N1+=1\n",
    "            inner_points.append([x,y])\n",
    "        else:\n",
    "            outer_points.append([x,y])\n",
    "    \n",
    "    print(\"Monte PI:\",4*N1/N2)\n",
    "    draw(inner_points,outer_points)\n",
    "\n",
    "def TaylorPi(k):\n",
    "    sum,odd = 0,True\n",
    "    for i in range(1,k):\n",
    "        sum += 1/(2*i-1) if odd==True else -1/(2*i-1)\n",
    "        odd = not odd\n",
    "    print(\"Taylor PI:\",sum*4)\n",
    "    \n",
    "def Ch_cal(k):\n",
    "    uper_value = math.factorial(6*k)*(13591409+545140134*k)\n",
    "    lower_value = math.factorial(3*k)*math.pow(math.factorial(k),3)*math.pow((-640320),3*k)\n",
    "    return uper_value/lower_value\n",
    "\n",
    "def Chudnovsky(number):\n",
    "    uper_value = 426880*math.sqrt(10005)\n",
    "    lower_sum = 0.\n",
    "    for k in range(number):\n",
    "        lower_sum+=Ch_cal(k)\n",
    "    print(\"Chudnovsky PI:\",uper_value/lower_sum)\n",
    "\n",
    "    \n",
    "def Iterative_cal(number):\n",
    "    a_now = 1.\n",
    "    b_now = 1./math.sqrt(2)\n",
    "    t_now = .25\n",
    "    p_now = 1.\n",
    "    for i in range(number):\n",
    "        a = (a_now+b_now)/2\n",
    "        b = math.sqrt(a_now*b_now)\n",
    "        t = t_now-p_now*math.pow((a_now-a),2)\n",
    "        p = 2*p_now\n",
    "\n",
    "        a_now = a\n",
    "        b_now = b\n",
    "        t_now = t\n",
    "        p_now = p\n",
    "    print(\"Iterative PI:\",math.pow(a_now+b_now,2)/(4*t_now))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Monte PI: 3.1422\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "MonPi(100000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Taylor PI: 3.1415936535907742\n"
     ]
    }
   ],
   "source": [
    "TaylorPi(1000000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Chudnovsky PI: 3.141592653589793\n"
     ]
    }
   ],
   "source": [
    "Chudnovsky(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iterative PI: 3.141592653589794\n"
     ]
    }
   ],
   "source": [
    "Iterative_cal(100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
